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EECT is primarily devoted to papers on analysis and control of infinite dimensional systems with emphasis on applications to PDE's and FDEs. Topics include:

  *  Modeling of physical systems as infinite-dimensional processes
  *  Direct problems such as existence, regularity and well-posedness
  *  Stability, long-time behavior and associated dynamical attractors
  *  Indirect problems such as exact controllability, reachability theory and inverse problems
  *  Optimization - including shape optimization - optimal control, game theory and calculus of variations
  *  Well-posedness, stability and control of coupled systems with an interface. Free boundary problems and problems with moving interface(s)
  *  Applications of the theory to physics, chemistry, engineering, economics, medicine and biology
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Weimin Han, Stanislaw Migórski and Mircea Sofonea
2020, 9(4) : ⅰ-ⅱ doi: 10.3934/eect.2020090 +[Abstract](350) +[HTML](157) +[PDF](13635.75KB)
A nonsmooth approach for the modelling of a mechanical rotary drilling system with friction
Samir Adly and Daniel Goeleven
2020, 9(4) : 915-934 doi: 10.3934/eect.2020042 +[Abstract](717) +[HTML](350) +[PDF](1434.04KB)
Measurable solutions to general evolution inclusions
Kevin T. Andrews, Kenneth L. Kuttler, Ji Li and Meir Shillor
2020, 9(4) : 935-960 doi: 10.3934/eect.2020055 +[Abstract](551) +[HTML](243) +[PDF](396.77KB)
Numerical analysis of a nonmonotone dynamic contact problem of a non-clamped piezoelectric viscoelastic body
Krzysztof Bartosz
2020, 9(4) : 961-980 doi: 10.3934/eect.2020059 +[Abstract](597) +[HTML](270) +[PDF](353.79KB)
A dynamic viscoelastic problem with friction and rate-depending contact interactions
Marius Cocou
2020, 9(4) : 981-993 doi: 10.3934/eect.2020060 +[Abstract](585) +[HTML](250) +[PDF](361.18KB)
Stability analysis and optimal control of a stationary Stokes hemivariational inequality
Changjie Fang and Weimin Han
2020, 9(4) : 995-1008 doi: 10.3934/eect.2020046 +[Abstract](658) +[HTML](353) +[PDF](337.71KB)
On dynamic contact problem with generalized Coulomb friction, normal compliance and damage
Leszek Gasiński and Piotr Kalita
2020, 9(4) : 1009-1026 doi: 10.3934/eect.2020049 +[Abstract](665) +[HTML](368) +[PDF](556.87KB)
Relaxation of optimal control problems driven by nonlinear evolution equations
Leszek Gasiński and Nikolaos S. Papageorgiou
2020, 9(4) : 1027-1040 doi: 10.3934/eect.2020050 +[Abstract](700) +[HTML](353) +[PDF](343.7KB)
Measurable solutions for elliptic and evolution inclusions
Kenneth Kuttler
2020, 9(4) : 1041-1055 doi: 10.3934/eect.2020041 +[Abstract](590) +[HTML](327) +[PDF](322.63KB)
Differential inclusion problems with convolution and discontinuous nonlinearities
Yongjian Liu, Zhenhai Liu and Dumitru Motreanu
2020, 9(4) : 1057-1071 doi: 10.3934/eect.2020056 +[Abstract](519) +[HTML](230) +[PDF](335.8KB)
History-dependent differential variational-hemivariational inequalities with applications to contact mechanics
Zhenhai Liu, Van Thien Nguyen, Jen-Chih Yao and Shengda Zeng
2020, 9(4) : 1073-1087 doi: 10.3934/eect.2020044 +[Abstract](727) +[HTML](400) +[PDF](341.36KB)
Fully history-dependent evolution hemivariational inequalities with constraints
Stanisław Migórski, Yi-bin Xiao and Jing Zhao
2020, 9(4) : 1089-1114 doi: 10.3934/eect.2020047 +[Abstract](621) +[HTML](346) +[PDF](409.27KB)
Topological optimization and minimal compliance in linear elasticity
Cornel Marius Murea and Dan Tiba
2020, 9(4) : 1115-1131 doi: 10.3934/eect.2020043 +[Abstract](664) +[HTML](358) +[PDF](3475.97KB)
Vibrations of a beam between stops: Collision events and energy balance properties
Laetitia Paoli
2020, 9(4) : 1133-1151 doi: 10.3934/eect.2020057 +[Abstract](460) +[HTML](243) +[PDF](354.99KB)
Existence for a quasistatic variational-hemivariational inequality
Zijia Peng, Cuiming Ma and Zhonghui Liu
2020, 9(4) : 1153-1165 doi: 10.3934/eect.2020058 +[Abstract](520) +[HTML](252) +[PDF](333.66KB)
Tykhonov well-posedness of a viscoplastic contact problem
Mircea Sofonea and Yi-bin Xiao
2020, 9(4) : 1167-1185 doi: 10.3934/eect.2020048 +[Abstract](660) +[HTML](365) +[PDF](374.83KB)
Convergence of simultaneous distributed-boundary parabolic optimal control problems
Domingo Tarzia, Carolina Bollo and Claudia Gariboldi
2020, 9(4) : 1187-1201 doi: 10.3934/eect.2020045 +[Abstract](625) +[HTML](363) +[PDF](385.71KB)
Uniform attractors of 3D Navier-Stokes-Voigt equations with memory and singularly oscillating external forces
Cung The Anh, Dang Thi Phuong Thanh and Nguyen Duong Toan
2020doi: 10.3934/eect.2020039 +[Abstract](665) +[HTML](335) +[PDF](391.89KB)
Global existence for a class of Keller-Segel models with signal-dependent motility and general logistic term
Wenbin Lv and Qingyuan Wang
2020doi: 10.3934/eect.2020040 +[Abstract](691) +[HTML](337) +[PDF](326.68KB)
Infimal convolution and duality in convex optimal control problems with second order evolution differential inclusions
Elimhan N. Mahmudov
2020doi: 10.3934/eect.2020051 +[Abstract](473) +[HTML](223) +[PDF](422.22KB)
Boundary null-controllability of coupled parabolic systems with Robin conditions
Kuntal Bhandari and Franck Boyer
2020doi: 10.3934/eect.2020052 +[Abstract](718) +[HTML](235) +[PDF](607.23KB)
On a final value problem for a class of nonlinear hyperbolic equations with damping term
Nguyen Huu Can, Nguyen Huy Tuan, Donal O'Regan and Vo Van Au
2020doi: 10.3934/eect.2020053 +[Abstract](547) +[HTML](215) +[PDF](485.71KB)
Uniform boundary observability with Legendre-Galerkin formulations of the 1-D wave equation
Ludovick Gagnon and José M. Urquiza
2020doi: 10.3934/eect.2020054 +[Abstract](476) +[HTML](219) +[PDF](676.11KB)
Local wellposedness of quasilinear Maxwell equations with absorbing boundary conditions
Roland Schnaubelt and Martin Spitz
2020doi: 10.3934/eect.2020061 +[Abstract](518) +[HTML](192) +[PDF](700.08KB)
Approximate controllability for Navier–Stokes equations in $ \rm3D $ cylinders under Lions boundary conditions by an explicit saturating set
Duy Phan
2020doi: 10.3934/eect.2020062 +[Abstract](394) +[HTML](197) +[PDF](2773.48KB)
Periodic solutions and multiharmonic expansions for the Westervelt equation
Barbara Kaltenbacher
2020doi: 10.3934/eect.2020063 +[Abstract](324) +[HTML](184) +[PDF](411.73KB)
Decay rate of global solutions to three dimensional generalized MHD system
Yanxia Niu, Yinxia Wang and Qingnian Zhang
2020doi: 10.3934/eect.2020064 +[Abstract](336) +[HTML](175) +[PDF](368.93KB)
Bounds for lifespan of solutions to strongly damped semilinear wave equations with logarithmic sources and arbitrary initial energy
Ge Zu and Bin Guo
2020doi: 10.3934/eect.2020065 +[Abstract](408) +[HTML](188) +[PDF](357.61KB)
On the approximate controllability of neutral integro-differential inclusions of Sobolev-type with infinite delay
V. Vijayakumar, R. Udhayakumar and K. Kavitha
2020doi: 10.3934/eect.2020066 +[Abstract](669) +[HTML](267) +[PDF](444.16KB)
Multiscale homogenization of integral convex functionals in Orlicz Sobolev setting
Joel Fotso Tachago, Giuliano Gargiulo, Hubert Nnang and Elvira Zappale
2020doi: 10.3934/eect.2020067 +[Abstract](417) +[HTML](205) +[PDF](485.62KB)
Stabilization of the transmission wave/plate equation with variable coefficients on $ {\mathbb{R}}^n $
Bei Gong, Zhen-Hu Ning and Fengyan Yang
2020doi: 10.3934/eect.2020068 +[Abstract](460) +[HTML](209) +[PDF](359.6KB)
Internal feedback stabilization for parabolic systems coupled in zero or first order terms
Elena-Alexandra Melnig
2020doi: 10.3934/eect.2020069 +[Abstract](366) +[HTML](178) +[PDF](394.98KB)
Homogenization of a stochastic viscous transport equation
Ioana Ciotir, Nicolas Forcadel and Wilfredo Salazar
2020doi: 10.3934/eect.2020070 +[Abstract](350) +[HTML](179) +[PDF](422.67KB)
Stability and dynamics for a nonlinear one-dimensional full compressible non-Newtonian fluids
Xin Liu, Yongjin Lu and Xin-Guang Yang
2020doi: 10.3934/eect.2020071 +[Abstract](390) +[HTML](186) +[PDF](402.0KB)
Well-posedness of infinite-dimensional non-autonomous passive boundary control systems
Birgit Jacob and Hafida Laasri
2020doi: 10.3934/eect.2020072 +[Abstract](439) +[HTML](195) +[PDF](471.98KB)
Approximation theorems for controllability problem governed by fractional differential equation
Rajesh Dhayal, Muslim Malik, Syed Abbas, Anil Kumar and Rathinasamy Sakthivel
2020doi: 10.3934/eect.2020073 +[Abstract](585) +[HTML](258) +[PDF](423.41KB)
Decay rates for the moore-gibson-thompson equation with memory
Hizia Bounadja and Belkacem Said Houari
2020doi: 10.3934/eect.2020074 +[Abstract](474) +[HTML](191) +[PDF](474.47KB)
A remark on the attainable set of the Schrödinger equation
Jonas Lampart
2020doi: 10.3934/eect.2020075 +[Abstract](336) +[HTML](181) +[PDF](301.95KB)
Approximate controllability of nonlocal problem for non-autonomous stochastic evolution equations
Pengyu Chen and Xuping Zhang
2020doi: 10.3934/eect.2020076 +[Abstract](471) +[HTML](247) +[PDF](413.99KB)
New results on controllability of fractional evolution systems with order $ \alpha\in (1,2) $
Yong Zhou and Jia Wei He
2020doi: 10.3934/eect.2020077 +[Abstract](483) +[HTML](193) +[PDF](351.16KB)
Conditional regularity for the 3D Navier-Stokes equations in terms of the middle eigenvalue of the strain tensor
Fan Wu
2020doi: 10.3934/eect.2020078 +[Abstract](407) +[HTML](180) +[PDF](296.86KB)
Funnel Control for boundary control systems
Marc Puche, Timo Reis and Felix L. Schwenninger
2020doi: 10.3934/eect.2020079 +[Abstract](350) +[HTML](168) +[PDF](1482.42KB)
Null controllability for singular cascade systems of $ n $-coupled degenerate parabolic equations by one control force
Brahim Allal, Abdelkarim Hajjaj, Lahcen Maniar and Jawad Salhi
2020doi: 10.3934/eect.2020080 +[Abstract](401) +[HTML](177) +[PDF](492.37KB)
On finite Morse index solutions of higher order fractional elliptic equations
Belgacem Rahal and Cherif Zaidi
2020doi: 10.3934/eect.2020081 +[Abstract](352) +[HTML](168) +[PDF](528.7KB)
Blow-up criteria for linearly damped nonlinear Schrödinger equations
Van Duong Dinh
2020doi: 10.3934/eect.2020082 +[Abstract](454) +[HTML](232) +[PDF](440.84KB)
Results on controllability of non-densely characterized neutral fractional delay differential system
Kasthurisamy Jothimani, Kalimuthu Kaliraj, Sumati Kumari Panda, Kotakkaran Sooppy Nisar and Chokkalingam Ravichandran
2020doi: 10.3934/eect.2020083 +[Abstract](457) +[HTML](211) +[PDF](385.72KB)
A nonlocal Weickert type PDE applied to multi-frame super-resolution
Fatimzehrae Ait Bella, Aissam Hadri, Abdelilah Hakim and Amine Laghrib
2020doi: 10.3934/eect.2020084 +[Abstract](271) +[HTML](161) +[PDF](5039.71KB)
A blow – up result for the semilinear Moore – Gibson – Thompson equation with nonlinearity of derivative type in the conservative case
Wenhui Chen and Alessandro Palmieri
2020doi: 10.3934/eect.2020085 +[Abstract](294) +[HTML](140) +[PDF](337.42KB)
Solvability in abstract evolution equations with countable time delays in Banach spaces: Global Lipschitz perturbation
Tomomi Yokota and Kentarou Yoshii
2020doi: 10.3934/eect.2020086 +[Abstract](233) +[HTML](139) +[PDF](315.3KB)
Deterministic control of stochastic reaction-diffusion equations
Wilhelm Stannat and Lukas Wessels
2020doi: 10.3934/eect.2020087 +[Abstract](298) +[HTML](145) +[PDF](866.01KB)
Lifespan of solutions to a parabolic type Kirchhoff equation with time-dependent nonlinearity
Haixia Li
2020doi: 10.3934/eect.2020088 +[Abstract](261) +[HTML](147) +[PDF](284.35KB)
S-asymptotically $ \omega $-periodic mild solutions and stability analysis of Hilfer fractional evolution equations
Pallavi Bedi, Anoop Kumar, Thabet Abdeljawad and Aziz Khan
2020doi: 10.3934/eect.2020089 +[Abstract](294) +[HTML](140) +[PDF](508.46KB)
Approximate controllability of network systems
Yassine El Gantouh, Said Hadd and Abdelaziz Rhandi
2020doi: 10.3934/eect.2020091 +[Abstract](220) +[HTML](113) +[PDF](488.43KB)
Uniform stability in a vectorial full Von Kármán thermoelastic system with solenoidal dissipation and free boundary conditions
Catherine Lebiedzik
2020doi: 10.3934/eect.2020092 +[Abstract](159) +[HTML](84) +[PDF](474.03KB)
Hadamard well-posedness for a structure acoustic model with a supercritical source and damping terms
Andrew R. Becklin and Mohammad A. Rammaha
2020doi: 10.3934/eect.2020093 +[Abstract](193) +[HTML](102) +[PDF](645.62KB)
Lipschitz stability for an inverse source problem in anisotropic parabolic equations with dynamic boundary conditions
El Mustapha Ait Ben Hassi, Salah-Eddine Chorfi, Lahcen Maniar and Omar Oukdach
2020doi: 10.3934/eect.2020094 +[Abstract](355) +[HTML](107) +[PDF](504.68KB)
Stabilization of higher order Schrödinger equations on a finite interval: Part I
Ahmet Batal, Türker Özsarı and Kemal Cem Yılmaz
2020doi: 10.3934/eect.2020095 +[Abstract](209) +[HTML](91) +[PDF](2871.43KB)
Controllability of neutral stochastic functional integro-differential equations driven by fractional brownian motion with Hurst parameter lesser than $ 1/2 $
Brahim Boufoussi and Soufiane Mouchtabih
2020doi: 10.3934/eect.2020096 +[Abstract](155) +[HTML](59) +[PDF](364.69KB)
Optimal distributed control of the three dimensional primitive equations of large-scale ocean and atmosphere dynamics
Bo You
2020doi: 10.3934/eect.2020097 +[Abstract](100) +[HTML](51) +[PDF](421.23KB)
Well-posedness of linear first order port-Hamiltonian Systems on multidimensional spatial domains
Nathanael Skrepek
2020doi: 10.3934/eect.2020098 +[Abstract](117) +[HTML](160) +[PDF](570.47KB)
Stability and stabilization for the three-dimensional Navier-Stokes-Voigt equations with unbounded variable delay
Vu Manh Toi
2020doi: 10.3934/eect.2020099 +[Abstract](105) +[HTML](56) +[PDF](374.1KB)
Existence and uniqueness of mild solutions for quasi-linear fractional integro-differential equations
Priscila Santos Ramos, J. Vanterler da C. Sousa and E. Capelas de Oliveira
2020doi: 10.3934/eect.2020100 +[Abstract](109) +[HTML](55) +[PDF](458.14KB)
Lifespan of solutions to a damped plate equation with logarithmic nonlinearity
Yuzhu Han and Qi Li
2020doi: 10.3934/eect.2020101 +[Abstract](119) +[HTML](69) +[PDF](357.33KB)
Non-autonomous 2D Newton-Boussinesq equation with oscillating external forces and its uniform attractor
Xueli Song and Jianhua Wu
2020doi: 10.3934/eect.2020102 +[Abstract](86) +[HTML](41) +[PDF](535.15KB)
Approximate controllability of second order impulsive systems with state-dependent delay in Banach spaces
Soniya Singh, Sumit Arora, Manil T. Mohan and Jaydev Dabas
2020doi: 10.3934/eect.2020103 +[Abstract](153) +[HTML](43) +[PDF](485.74KB)
Optimal control problems for a neutral integro-differential system with infinite delay
Hai Huang and Xianlong Fu
2020doi: 10.3934/eect.2020107 +[Abstract](8) +[HTML](4) +[PDF](354.45KB)
Energy method for exponential stability of coupled one-dimensional hyperbolic PDE-ODE systems
Gervy Marie Angeles and Gilbert Peralta
2020doi: 10.3934/eect.2020108 +[Abstract](5) +[HTML](4) +[PDF](390.72KB)
Pontryagin maximum principle for the optimal control of linearized compressible navier-stokes equations with state constraints
Stefan Doboszczak, Manil T. Mohan and Sivaguru S. Sritharan
2020doi: 10.3934/eect.2020110 +[Abstract](7) +[HTML](5) +[PDF](392.3KB)
Controllability for fractional evolution inclusions without compactness
Yong Zhou, V. Vijayakumar and R. Murugesu
2015, 4(4) : 507-524 doi: 10.3934/eect.2015.4.507 +[Abstract](4113) +[PDF](424.8KB) Cited By(78)
Feedback control of nonlinear dissipative systems by finite determining parameters - A reaction-diffusion paradigm
Abderrahim Azouani and Edriss S. Titi
2014, 3(4) : 579-594 doi: 10.3934/eect.2014.3.579 +[Abstract](3319) +[PDF](418.2KB) Cited By(29)
On the Cauchy problem for the Schrödinger-Hartree equation
Binhua Feng and Xiangxia Yuan
2015, 4(4) : 431-445 doi: 10.3934/eect.2015.4.431 +[Abstract](3172) +[PDF](441.7KB) Cited By(23)
Hyperbolic Navier-Stokes equations I: Local well-posedness
Reinhard Racke and Jürgen Saal
2012, 1(1) : 195-215 doi: 10.3934/eect.2012.1.195 +[Abstract](3550) +[PDF](426.3KB) Cited By(22)
On Kelvin-Voigt model and its generalizations
Miroslav Bulíček, Josef Málek and K. R. Rajagopal
2012, 1(1) : 17-42 doi: 10.3934/eect.2012.1.17 +[Abstract](4488) +[PDF](596.6KB) Cited By(19)
The effect of the wave speeds and the frictional damping terms on the decay rate of the Bresse system
Abdelaziz Soufyane and Belkacem Said-Houari
2014, 3(4) : 713-738 doi: 10.3934/eect.2014.3.713 +[Abstract](3327) +[PDF](498.1KB) Cited By(19)
Rational decay rates for a PDE heat--structure interaction: A frequency domain approach
George Avalos and Roberto Triggiani
2013, 2(2) : 233-253 doi: 10.3934/eect.2013.2.233 +[Abstract](3316) +[PDF](610.3KB) Cited By(19)
Mathematics of nonlinear acoustics
Barbara Kaltenbacher
2015, 4(4) : 447-491 doi: 10.3934/eect.2015.4.447 +[Abstract](4167) +[PDF](724.1KB) Cited By(18)
On well-posedness of incompressible two-phase flows with phase transitions: The case of equal densities
Jan Prüss, Yoshihiro Shibata, Senjo Shimizu and Gieri Simonett
2012, 1(1) : 171-194 doi: 10.3934/eect.2012.1.171 +[Abstract](3463) +[PDF](459.7KB) Cited By(17)
Fluid-structure interaction with and without internal dissipation of the structure: A contrast study in stability
George Avalos and Roberto Triggiani
2013, 2(4) : 563-598 doi: 10.3934/eect.2013.2.563 +[Abstract](3274) +[PDF](827.5KB) Cited By(16)
Martingale solutions for stochastic Navier-Stokes equations driven by Lévy noise
Kumarasamy Sakthivel and Sivaguru S. Sritharan
2012, 1(2) : 355-392 doi: 10.3934/eect.2012.1.355 +[Abstract](3513) +[PDF](583.6KB) PDF Downloads(411)
Mathematics of nonlinear acoustics
Barbara Kaltenbacher
2015, 4(4) : 447-491 doi: 10.3934/eect.2015.4.447 +[Abstract](4167) +[PDF](724.1KB) PDF Downloads(343)
On the three dimensional Kelvin-Voigt fluids: global solvability, exponential stability and exact controllability of Galerkin approximations
Manil T. Mohan
2020, 9(2) : 301-339 doi: 10.3934/eect.2020007 +[Abstract](1875) +[HTML](625) +[PDF](485.25KB) PDF Downloads(323)
Continuity with respect to fractional order of the time fractional diffusion-wave equation
Nguyen Huy Tuan, Donal O'Regan and Tran Bao Ngoc
2020, 9(3) : 773-793 doi: 10.3934/eect.2020033 +[Abstract](1339) +[HTML](488) +[PDF](559.21KB) PDF Downloads(317)
The controllability of a thermoelastic plate problem revisited
Moncef Aouadi and Taoufik Moulahi
2018, 7(1) : 1-31 doi: 10.3934/eect.2018001 +[Abstract](4864) +[HTML](517) +[PDF](612.96KB) PDF Downloads(277)
Stability problem for the age-dependent predator-prey model
Antoni Leon Dawidowicz and Anna Poskrobko
2018, 7(1) : 79-93 doi: 10.3934/eect.2018005 +[Abstract](5518) +[HTML](494) +[PDF](421.72KB) PDF Downloads(239)
Decay rates for second order evolution equations in Hilbert spaces with nonlinear time-dependent damping
Jun-Ren Luo and Ti-Jun Xiao
2020, 9(2) : 359-373 doi: 10.3934/eect.2020009 +[Abstract](1316) +[HTML](430) +[PDF](299.02KB) PDF Downloads(233)
On a backward problem for two-dimensional time fractional wave equation with discrete random data
Nguyen Huy Tuan, Tran Ngoc Thach and Yong Zhou
2020, 9(2) : 561-579 doi: 10.3934/eect.2020024 +[Abstract](1023) +[HTML](291) +[PDF](420.19KB) PDF Downloads(230)
Energy decay for the damped wave equation on an unbounded network
Rachid Assel and Mohamed Ghazel
2018, 7(3) : 335-351 doi: 10.3934/eect.2018017 +[Abstract](4688) +[HTML](386) +[PDF](431.8KB) PDF Downloads(229)
Exact boundary observability and controllability of the wave equation in an interval with two moving endpoints
Abdelmouhcene Sengouga
2020, 9(1) : 1-25 doi: 10.3934/eect.2020014 +[Abstract](2205) +[HTML](307) +[PDF](935.65KB) PDF Downloads(228)

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